Generally, at \(z\simeq 3\) –6, the \(\mbox{Ly$\alpha $}\)  line is the most common \(z_{\rm s}\)  indicator in follow-up observations, which could introduce a certain sample bias in favor of \(\mbox{Ly$\alpha $}\)  emission. We also checked spec-\(z\)  estimates for \(z_{\rm p}\gtrsim 3\)  sources with \(F775W<27.5\)  mag. Among 142 sources, 26 sources have a best-fit photo-\(z\)  in \(2.86\le z_{\rm p} \le 4.44\)  (between the black lines). All of them except for RID=6693 have a spec-\(z\)  with ZCONF=2 or 3, most of which are consistent with their photo-\(z\) . As LAE fractions are not high [1]}, it means that our sample construction is not significantly biased a \(\mbox{Ly$\alpha $}\)  selection despite the redshift range. This result reinforces the high spec-\(z\)  completeness in our sample construction.
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